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Author : Michael A. Hill
Release : 2021-02
Genre :
Kind : eBook
Book Rating : 943/5 ( reviews)
Book Synopsis Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem by : Michael A. Hill
Download or read book Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem written by Michael A. Hill. This book was released on 2021-02. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael A. Hill
Release : 2021-07-29
Genre : Mathematics
Kind : eBook
Book Rating : 443/5 ( reviews)
Book Synopsis Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem by : Michael A. Hill
Download or read book Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem written by Michael A. Hill. This book was released on 2021-07-29. Available in PDF, EPUB and Kindle. Book excerpt: A complete and definitive account of the authors' resolution of the Kervaire invariant problem in stable homotopy theory.
Author : Anna Marie Riehle Bohmann
Release : 2011
Genre :
Kind : eBook
Book Rating : 333/5 ( reviews)
Book Synopsis Topics in Equivariant Stable Homotopy Theory by : Anna Marie Riehle Bohmann
Download or read book Topics in Equivariant Stable Homotopy Theory written by Anna Marie Riehle Bohmann. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: Finally, we give an alternate description of the multiplicative norm maps used in recent work on the Kervaire invariant one problem. Comparing our construction with that used in [17] gives insight into the mechanism of norm maps.
Author : L. Gaunce Jr. Lewis
Release : 2006-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 778/5 ( reviews)
Book Synopsis Equivariant Stable Homotopy Theory by : L. Gaunce Jr. Lewis
Download or read book Equivariant Stable Homotopy Theory written by L. Gaunce Jr. Lewis. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt: This book is a foundational piece of work in stable homotopy theory and in the theory of transformation groups. It may be roughly divided into two parts. The first part deals with foundations of (equivariant) stable homotopy theory. A workable category of CW-spectra is developed. The foundations are such that an action of a compact Lie group is considered throughout, and spectra allow desuspension by arbitrary representations. But even if the reader forgets about group actions, he will find many details of the theory worked out for the first time. More subtle constructions like smash products, function spectra, change of group isomorphisms, fixed point and orbit spectra are treated. While it is impossible to survey properly the material which is covered in the book, it does boast these general features: (i) a thorough and reliable presentation of the foundations of the theory; (ii) a large number of basic results, principal applications, and fundamental techniques presented for the first time in a coherent theory, unifying numerous treatments of special cases in the literature.
Author : David Barnes
Release : 2020-03-26
Genre : Mathematics
Kind : eBook
Book Rating : 671/5 ( reviews)
Book Synopsis Foundations of Stable Homotopy Theory by : David Barnes
Download or read book Foundations of Stable Homotopy Theory written by David Barnes. This book was released on 2020-03-26. Available in PDF, EPUB and Kindle. Book excerpt: The beginning graduate student in homotopy theory is confronted with a vast literature on spectra that is scattered across books, articles and decades. There is much folklore but very few easy entry points. This comprehensive introduction to stable homotopy theory changes that. It presents the foundations of the subject together in one place for the first time, from the motivating phenomena to the modern theory, at a level suitable for those with only a first course in algebraic topology. Starting from stable homotopy groups and (co)homology theories, the authors study the most important categories of spectra and the stable homotopy category, before moving on to computational aspects and more advanced topics such as monoidal structures, localisations and chromatic homotopy theory. The appendix containing essential facts on model categories, the numerous examples and the suggestions for further reading make this a friendly introduction to an often daunting subject.
